For anyone wondering why its good to change the fluid right after getting the car here are some pics.
Car has 1500 miles on it to give you an idea.

Drain plug on the left and fill plug on the right. The rag shows all the crap that came off both plugs and the fluid in the bucket had a definite metallic look to it. Ignore the leaf and grass that definitely didn't come out of the Diff.

I changed ours for the 1st time ar 700 miles just before our 1st event with the car and it was just as black and burnt, its one of the 1st things I always suggest to a new 5th gen owner. I changed it again at 5000 miles and then at 10000 miles and it looks great compared to the first time

It's pretty easy on the drivers side (I believe) there are two plugs they use a 3/8" ratchet to remove. The bottom is drain the top is fill. Basically take out the top so you don't get a vacuum take out the bottom to drain. It takes a quart. Reverse procedure and fill with fluid of your choice, just make sure it has the limited slip additive. Get a hand pump to transfer the fluid into the diff.

All this is obviously while the car is properly raised and supported by jack stands.

I didn't even have to Jack mine up. Just backed it up to the small lip where the garage and dive way meet have me plenty of room. Helps if your drive way is sloped some.

I was able to get the fluid in with out a pump but a pump would make it easier. Just fill it back up till it starts coming out the fill hole then your done. Make sure the car is level when filling it up though.